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1056134763750 = 23541127194477
BaseRepresentation
bin11110101111001101000…
…10011001010011100110
310201222001211212212220010
433113212202121103212
5114300430444420000
62125103121151050
7136206001241253
oct17274642312346
93658054785803
101056134763750
113779a45a4830
1215082948b486
1378792cca191
143918d82642a
151c7149b3d50
hexf5e68994e6

1056134763750 has 160 divisors (see below), whose sum is σ = 2890101671424. Its totient is φ = 255085200000.

The previous prime is 1056134763727. The next prime is 1056134763791. The reversal of 1056134763750 is 573674316501.

It is a super-2 number, since 2×10561347637502 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056134763750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11131512 + ... + 11225988.

Almost surely, 21056134763750 is an apocalyptic number.

1056134763750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056134763750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445050835712).

1056134763750 is an abundant number, since it is smaller than the sum of its proper divisors (1833966907674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056134763750 is a wasteful number, since it uses less digits than its factorization.

1056134763750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94784 (or 94769 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 1056134763750 in words is "one trillion, fifty-six billion, one hundred thirty-four million, seven hundred sixty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 271 275 330 375 542 550 625 750 813 825 1250 1355 1375 1626 1650 1875 2710 2750 2981 3750 4065 4125 5962 6775 6875 8130 8250 8943 13550 13750 14905 17886 20325 20625 29810 33875 40650 41250 44715 67750 74525 89430 94477 101625 149050 169375 188954 203250 223575 283431 338750 372625 447150 472385 508125 566862 745250 944770 1016250 1039247 1117875 1417155 1863125 2078494 2235750 2361925 2834310 3117741 3726250 4723850 5196235 5589375 6235482 7085775 10392470 11178750 11809625 14171550 15588705 23619250 25603267 25981175 31177410 35428875 51206534 51962350 59048125 70857750 76809801 77943525 118096250 128016335 129905875 153619602 155887050 177144375 256032670 259811750 281635937 354288750 384049005 389717625 563271874 640081675 649529375 768098010 779435250 844907811 1280163350 1299058750 1408179685 1689815622 1920245025 1948588125 2816359370 3200408375 3840490050 3897176250 4224539055 6400816750 7040898425 8449078110 9601225125 14081796850 16002041875 19202450250 21122695275 32004083750 35204492125 42245390550 48006125625 70408984250 96012251250 105613476375 176022460625 211226952750 352044921250 528067381875 1056134763750